Write an inequality that represents the graph. An inequality that represents the graph is -1 on a number line
a .

Answer:

f(3) = 3 + 1 = 4

Step-by-step explanation:

Since 3 > 0, we need to focus on the part of the function where x > 0. So:

f(3) = 3 + 1 = 4.

Amy spent $21 on school supplies.

The correct answer is option C, $21.

To determine how much Amy spent on school supplies, we first need to calculate the fraction of her total money that was spent on school supplies. It is given that Amy spent 1/6 of her money on school supplies.

We are also given that Amy spent a total of $126 at the store. So, to find the amount spent on school supplies, we need to find 1/6 of $126.

To calculate 1/6 of a value, we can multiply the value by the fraction 1/6. In this case, we have:

(1/6) x $126 = $21

Therefore, Amy spent $21 on school supplies.

The correct answer is option C, $21. This means that out of the total $126 spent, $21 was allocated to school supplies.

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Answer:

The probability is: 0.8889.

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

\(P(B|A) = \frac{P(A \cap B)}{P(A)}\)

In which

P(B|A) is the probability of event B happening, given that A happened.

\(P(A \cap B)\) is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Approved

Event B: Qualified

Probability of a person being approved:

80% of 75%(qualified)

30% of 25%(not qualified). So

\(P(A) = 0.8*0.75 + 0.3*0.25 = 0.675\)

Probability of a person being approved and being qualified:

80% of 75%, so:

\(P(A \cap B) = 0.8*0.75\)

Find the probability that a person is qualified if he or she was approved by the manager.

\(P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.8*0.75}{0.675} = 0.8889\)

The probability is: 0.8889.

Answer:

6 x 39 = 234

Step-by-step explanation:

9 x 6 is 54. 30 x 6 is 180. 180+54 is 234.

The approximate solution is 3.52138. therefore the correct answer is option B.

How to find a point of intersection by Newton-Raphson method

Since f(x) and g(x)  are continuous differentiable functions, we can apply Newton-Raphson formula, which helps to find an approximate solution by a multi-stage approach:

xi + 1 = xi -(f(xi)/f'(xi)) , where, f(xi)= 3*log(x-2) - log x.  ....... (1, 2)

The first derivative evaluated at   is defined by this formula:

f'(xi) = [1.303/(x-2)] - [0.434/x]....... (3)

Now we proceed to find an approximate solution by iterations:

Iteration 1

x₀= 3.5

f(x₀)= -0.016

f'(x₀) = 0.745

x₁ = 3.521

Iteration 2

x₁ = 3.521

f(x₁) = -2.784 * 10⁻⁴

f'(x₁) = 0.733

x₂= 3.52137

Iteration 3

x₂= 3.52137

f(x₂) = -7.116 * 10⁻⁶

f'(x₂) = 0.7332

x₃= 3.52138

The approximate solution is 3.52138 (Correct choice: B)

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The calculated value of the probability of B is (c) 0.25

From the question, we have the following parameters that can be used in our computation:

P(A or B) = 0.3

P(A and B) = 0.2

P(A/B) =0.8

First, we have

P(A/B) = P(A and B)/P(B)

Substitute the known values in the above equation, so, we have the following representation

0.2/P(B) = 0.8

So, we have

P(B) = 0.2/0.8

Evaluate

P(B) = 0.25

Hence, the probability of B is 0.25

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Answer:

-2x^2+8x-9+4x+7x^2+2 = 5x²+12x-7

Step-by-step explanation:

Answer:

21.6

Step-by-step explanation:

Tan 27= 11

y

y×tan27=11

y=21.6

The answer is:

y = 21.6

Work/explanation:

We are asked to use SOH-CAH-TOA. But what does it mean?

SOH stands for Sine = Opposite ÷ Hypotenuse

CAH stands for Cosine = Adjacent ÷ Hypotenuse

TOA stands for Tangent = Opposite ÷ Adjacent

Since we do not have the hypotenuse, we will use the TOA ratio:

\(\sf{Tangent=\dfrac{Opposite}{Adjacent}}\)

The opposite is 11, and the adjacent is y:

\(\sf{\tan27=\dfrac{11}{y}}\)

Take the tangent of 27 & approximate it:

\(\sf{0.5095=11\div y}\)

Multiply each side by y

\(\sf{0.5095y=11}\)

Divide each side by 0.5095

\(\sf{y=21.6}\)

Answer:

A: the probability that a 1 is received is 0.56.

B:  the probability that a 0 was sent given that a 1 is received is (2/25) * (1 - P(0 sent)).

Step-by-step explanation:

To solve this problem, we can use conditional probabilities and the concept of Bayes' theorem.

a. To find the probability that a 1 is received, we need to consider the two possibilities: either a 1 was sent and remained unchanged, or a 0 was sent and got flipped to a 1 by the random error.

Let's denote:

P(1 sent) = 0.6 (probability a 1 is sent)

P(0→1) = 0.2 (probability a 0 is flipped to 1)

P(1 received) = ?

P(1 received) = P(1 sent and unchanged) + P(0 sent and flipped to 1)

= P(1 sent) * (1 - P(0→1)) + P(0 sent) * P(0→1)

= 0.6 * (1 - 0.2) + 0.4 * 0.2

= 0.6 * 0.8 + 0.4 * 0.2

= 0.48 + 0.08

= 0.56

Therefore, the probability that a 1 is received is 0.56.

b. If a 1 is received, we want to find the probability that a 0 was sent. We can use Bayes' theorem to calculate this.

Let's denote:

P(0 sent) = ?

P(1 received) = 0.56

We know that P(0 sent) + P(1 sent) = 1 (since either a 0 or a 1 is sent).

Using Bayes' theorem:

P(0 sent | 1 received) = (P(1 received | 0 sent) * P(0 sent)) / P(1 received)

P(1 received | 0 sent) = P(0 sent and flipped to 1) = 0.4 * 0.2 = 0.08

P(0 sent | 1 received) = (0.08 * P(0 sent)) / 0.56

Since P(0 sent) + P(1 sent) = 1, we can substitute 1 - P(0 sent) for P(1 sent):

P(0 sent | 1 received) = (0.08 * (1 - P(0 sent))) / 0.56

Simplifying:

P(0 sent | 1 received) = 0.08 * (1 - P(0 sent)) / 0.56

= 0.08 * (1 - P(0 sent)) * (1 / 0.56)

= 0.08 * (1 - P(0 sent)) * (25/14)

= (2/25) * (1 - P(0 sent))

Therefore, the probability that a 0 was sent given that a 1 is received is (2/25) * (1 - P(0 sent)).

A message is coded into the binary symbols 0 and 1 and the message is sent over a communication channel. The probability a 0 is sent is 0.4 and the probability a 1 is sent is 0.6. The channel, however, has a random error that changes a 1 to a 0 with probability 0.2 and changes a 0 to a 1 with probability 0.1. (a) What is the probability a 0 is received? (b) If a 1 is received, what is the probability a 0 was sent?

Answer:

3/4

Step-by-step explanation:

Ok, so I see that the x-intercept is (4,0), while the y-intercept is(-3,0)

Slope is rise/run

Between these two points, the line rose 3 and horizontally went 4 units to the right. Therefore, the slope is 3/4.

Feel free to tell me if I did anything wrong! :)

Also, if you're still confused, I could explain it another way.

Answer:

Speed = 3.75 miles per hour.

Step-by-step explanation:

Speed can be defined as distance covered per unit time. Speed is a scalar quantity and as such it has magnitude but no direction.

Mathematically, speed is given by the equation;

\(Speed = \frac{distance}{time}\)

\(S = \frac{d}{t}\)

Given the following data;

Distance, d = 3/4 miles

Time, t = 1/5 hour

Substituting into the equation, we have;

\(Speed, S= \frac{3/4}{1/5}\)

\(Speed, S = \frac{3}{4}*5\)

\(Speed, S = \frac{15}{4}\)

Speed, S = 3.75mph.

Therefore, Josie's speed is 3.75 miles per hour.

Answer:

y=-2x+4

Step-by-step explanation:

Since it is parallel, it has to have the same slope m=-2. Just use the equation y-y=m(x-x) to solve the equation of the line.

\(y-y_0=m(x-x_0)\\y-(-2)=-2(x-3)\\y+2=-2x+6\\y=-2x+4\)

The solution of given inequalities are respectively,  c ≥ -4,  c ≥ 10, c ≥ -10,  c ≥ 4

Inequalities are the comparison of mathematical expressions, whether one quantity is greater or smaller in comparison to another quantity.

We use these symbols to represent inequalities, '>' , '<', '≥', '≤'

Here are the solutions for each inequality:

1. c + 7 ≥ 3

Subtracting 7 from both sides, we get:

 c ≥ -4

2. c ≥ 10

Since 10 is greater than -4, the solution to this inequality is simply c ≥ 10.

3. c ≥ -10

Since -10 is less than -4, the solution to this inequality is simply c ≥ -10.

4. c ≥ 4

Since 4 is greater than -4, the solution to this inequality is simply c ≥ 4.

So, the solution to the system of inequalities is c ≥ 10. This means that c has to be 10 or greater in order for the inequalities to be true.

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The approximate area of the mulch around the merry-go-round is 126.228 feet².

Diameter of the merry go round = 10.4 feet

Radius is half of the diameter.

Radius of the merry go round = 10.4/2 = 5.2 feet

Before the piece can be installed, a solid circular pad of mulch must be put down which extends 3 feet beyond the edge of the merry-go-round.

Radius of the merry go round with mulch = 5.2 + 3 = 8.2 feet

Total area of the merry go round with the mulch is,

Area = π (8.2)² = 67.24π feet²

Area of the merry go round = π (5.2)² = 27.04π feet²

Area of the mulch = 67.24π feet² - 27.04π feet² = 40.2π = 126.228 feet²

Hence the required area is 126.228 feet².

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Answer:

45 + 21e   3  (7e  +15)

Step-by-step explanation:

The equivalent expression of the expression 4(3e+2) + 9(e+4) + 1 will be

⇒ 45 + 21e

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expression is,

⇒ 4(3e+2) + 9(e+4) + 1

Now,

We can simplify the expression as;

⇒ 4(3e+2) + 9(e+4) + 1

⇒ 12e + 8 + 9e + 36 + 1

⇒ 21e + 45

⇒ 45 + 21e

Thus, The equivalent expression of the expression 4(3e+2) + 9(e+4) + 1 will be;

⇒ 45 + 21e

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The solution is : the value of y is 7.

Here, we have,

The perimeter of a rectangle is found by

P = 2 (l+w)

P = 2( 3y+3+2y)

Combine like terms

P = 2(5y+3)

We know the perimeter is 76

76 = 2(5y+3)

Divide each side by 2

76/2 = 2/2(5y+3)

38 = 5y+3

Subtract 3 from each side

38-3 = 5y+3-3

35 = 5y

Divide each side by 5

35/5 = 5y/5

7 =y

We want the length of AD = BC = 2y

AD = 2y=2*y = 14

Hence, The solution is : the value of y is 7.

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Answer:

Five hundred fifty-four and 10/100.

Step-by-step explanation:

I think? I hope this helps :/

Answer:

696/12

696/12 math problems division = 58. Therefore 58 to 2 decimal places= 58

696/12 divided by 2 » (696/12) ÷ 2 » 58 ÷ 2 = 29

Step-by-step explanation:

The answer is 58 mark me brainliest

Answer:

432

Step-by-step explanation:

1 yard=3 feet

6 x 3=18

450 - 18=432

Please:

Please give me brainliest.

Answer:

210 students

Step-by-step explanation:

30%=63

10%=63÷3

      =21

100%=21×10

        =210

He can wear them in 5! orders in over 5 days. The solution has been obtained by using permutations.

What is permutation?

A permutation is a combination of objects arranged in a particular sequence. The elements of sets are arranged in a linear or sequential manner in this instance.

We are given that John has pairs of red, orange, yellow, blue, and green socks. Repetition is not allowed because John puts his socks in the wash at the end of the day.

From this we get,

On first day he has five choices but the nest day he is left with only 4 choices, then 3 choices and so on.

So,

5 * 4 * 3 * 2 * 1 = 5!

Hence, he can wear them in 5! orders in over 5 days.

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The matrix 3A + B cannot be defined, as 3A and B have different dimensions, hence they cannot be added.

When we add two matrices, we add the equivalent elements, that is, the elements at the same position in each matrix, hence for the addition of matrices they should have the same dimensions.

The matrices are given by:

3a: 3[5 2]' = [15 6].

b = [7 1;5 0].

With the ; indicating a new line, hence they have different dimensions(A 2 x 1 and B 2 x 2), so the matrix 3A + B cannot be defined.

Therefore, the matrix 3A + B cannot be defined, as 3A and B have different dimensions, hence they cannot be added.

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First, express the mixed number as a simple fraction:

Back with the equation:

Subtract 3/8 from both sides of the equation:

Answer:

207.5 is the answer.

Step-by-step explanation:

Add up the numbers (207 + 208) = 415.

Then divide how many numbers, since the problem gives us 2 numbers, you divide 415 by 2.

That is how you find the mean.

Answer: A: It will cost $936.00 to carpet the floor.

B: It will cost $297.00 to wallpaper all four walls.

C: It will cost $33.25 to paint the ceiling.

D: The cost of the entire project will be $1266.25.

Step-by-step explanation:

To calculate the costs for carpeting, wallpapering, painting, and the overall cost of the project, we need to determine the areas that need to be covered and the corresponding prices for each material.

Given dimensions:

Room length: 26 feet

Room width: 18 feet

Room height: 9 feet

Door dimensions:

Height: 6 feet 6 inches

Width: 4 feet

Window dimensions (each):

Width: 2 feet

Height: 2 feet 6 inches

A: Carpeting the floor:

To find the area of the floor, we multiply the length and width of the room:

Floor area = Length × Width = 26 feet × 18 feet = 468 square feet.

To convert to square yards (since the carpet is sold per square yard), we divide by 9:

Floor area in square yards = 468 square feet / 9 = 52 square yards.

Cost to carpet the floor = Floor area in square yards × Cost per square yard = 52 square yards × $18.00 = $936.00.

B: Wallpapering the walls:

To find the area of the walls, we calculate the perimeter of the room (2 × (Length + Width)) and multiply it by the height of the room:

Wall area = Perimeter × Height = 2 × (26 feet + 18 feet) × 9 feet = 396 square feet.

Cost to wallpaper the walls = Wall area × Cost per square foot = 396 square feet × $0.75 = $297.00.

C: Painting the ceiling:

To find the area of the ceiling, we multiply the length and width of the room:

Ceiling area = Length × Width = 26 feet × 18 feet = 468 square feet.

Since a quart of paint covers 88 square feet, we need to determine the number of quarts required:

Number of quarts = Ceiling area / Coverage per quart = 468 square feet / 88 square feet = 5.32 quarts.

Since a gallon contains 4 quarts, the number of gallons required is 5.32 quarts / 4 quarts = 1.33 gallons.

Cost to paint the ceiling = Number of gallons × Cost per gallon = 1.33 gallons × $25.00 = $33.25.

D: Cost of the entire project:

Total cost = Cost to carpet the floor + Cost to wallpaper the walls + Cost to paint the ceiling

= $936.00 + $297.00 + $33.25 = $1266.25.

Therefore:

A: It will cost $936.00 to carpet the floor.

B: It will cost $297.00 to wallpaper all four walls.

C: It will cost $33.25 to paint the ceiling.

D: The cost of the entire project will be $1266.25.

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Note that the coordinates of the point A' after rotating 90 degrees clockwise about the point (0,1) are (3, -4). (Option B)

To rotate a point 90 degrees  clockwise about a given point,we can follow these steps -

Translate the coordinates   of the given point so that the center of rotation is at the origin.   In this case,we subtract the coordinates   of the center (0,1) from the coordinates of point A (5,4) to get (-5, 3).

Perform the rotation by swapping the x and y coordinates and changing the sign of the   new x coordinate. In this case,we  swap the x and y coordinates of (-5, 3)   to  get (3, -5).

Translate the coordinates back to their original position   by adding the coordinates of the center (0,1)  to the result from step 2. In   this case, we add (0,1) to (3, -5) to get (3, -4).

Therefore, the coordinates   of the point A' after rotating 90 degrees clockwise about the point (0,1) are (3, -4).

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